optdigits

Dataset statistics

Number of variables	20
Number of observations	5620
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	878.2 KiB
Average record size in memory	160.0 B

Variable types

NUM	18
BOOL	2

Reproduction

Analysis started	2020-08-25 01:41:52.785100
Analysis finished	2020-08-25 01:42:47.894623
Duration	55.11 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

`input1` has constant value "0.0"	Constant
`input17` is highly skewed (γ1 = 32.21437116)	Skewed
`input53` has 366 (6.5%) zeros	Zeros
`input59` has 1288 (22.9%) zeros	Zeros
`input45` has 1322 (23.5%) zeros	Zeros
`input6` has 1611 (28.7%) zeros	Zeros
`input37` has 822 (14.6%) zeros	Zeros
`input17` has 5607 (99.8%) zeros	Zeros
`input13` has 217 (3.9%) zeros	Zeros
`input26` has 2787 (49.6%) zeros	Zeros
`input62` has 1494 (26.6%) zeros	Zeros
`input10` has 3228 (57.4%) zeros	Zeros
`input41` has 5572 (99.1%) zeros	Zeros
`input14` has 1111 (19.8%) zeros	Zeros
`input35` has 1422 (25.3%) zeros	Zeros
`input51` has 1100 (19.6%) zeros	Zeros
`input4` has 162 (2.9%) zeros	Zeros
`input18` has 2745 (48.8%) zeros	Zeros
`input50` has 4273 (76.0%) zeros	Zeros
`target` has 554 (9.9%) zeros	Zeros

input53
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9.65338078291815
Minimum	0.0
Maximum	16.0
Zeros	366
Zeros (%)	6.5%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	5
median	10
Q3	15
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	10

Descriptive statistics

Standard deviation	5.31286313
Coefficient of variation (CV)	0.5503629505
Kurtosis	-1.192034785
Mean	9.653380783
Median Absolute Deviation (MAD)	5
Skewness	-0.3412180731
Sum	54252
Variance	28.22651464

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
16	1161	20.7%
15	387	6.9%
0	366	6.5%
8	355	6.3%
14	337	6.0%
4	333	5.9%
13	316	5.6%
12	315	5.6%
5	286	5.1%
7	262	4.7%
10	260	4.6%
9	257	4.6%
6	239	4.3%
11	228	4.1%
1	203	3.6%
2	174	3.1%
3	141	2.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	366	6.5%
1	203	3.6%
2	174	3.1%
3	141	2.5%
4	333	5.9%
5	286	5.1%
6	239	4.3%
7	262	4.7%
8	355	6.3%
9	257	4.6%

Value	Count	Frequency (%)
16	1161	20.7%
15	387	6.9%
14	337	6.0%
13	316	5.6%
12	315	5.6%
11	228	4.1%
10	260	4.6%
9	257	4.6%
8	355	6.3%
7	262	4.7%

input59
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	5.760498220640569
Minimum	0.0
Maximum	16.0
Zeros	1288
Zeros (%)	22.9%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	5
Q3	10
95-th percentile	15
Maximum	16
Range	16
Interquartile range (IQR)	9

Descriptive statistics

Standard deviation	5.021144659
Coefficient of variation (CV)	0.8716511083
Kurtosis	-0.999773682
Mean	5.760498221
Median Absolute Deviation (MAD)	4
Skewness	0.4681571338
Sum	32374
Variance	25.21189368

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1288	22.9%
2	373	6.6%
5	339	6.0%
1	339	6.0%
3	325	5.8%
4	324	5.8%
6	314	5.6%
7	308	5.5%
8	294	5.2%
10	264	4.7%
9	254	4.5%
11	245	4.4%
13	216	3.8%
12	204	3.6%
15	198	3.5%
16	197	3.5%
14	138	2.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1288	22.9%
1	339	6.0%
2	373	6.6%
3	325	5.8%
4	324	5.8%
5	339	6.0%
6	314	5.6%
7	308	5.5%
8	294	5.2%
9	254	4.5%

Value	Count	Frequency (%)
16	197	3.5%
15	198	3.5%
14	138	2.5%
13	216	3.8%
12	204	3.6%
11	245	4.4%
10	264	4.7%
9	254	4.5%
8	294	5.2%
7	308	5.5%

input1
Boolean

CONSTANT
REJECTED

Distinct count	1
Unique (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	44.0 KiB

0	5620

Frequency Table

Value	Count	Frequency (%)
0	5620	100.0%

input45
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	7.841814946619217
Minimum	0.0
Maximum	16.0
Zeros	1322
Zeros (%)	23.5%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	8
Q3	14
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	13

Descriptive statistics

Standard deviation	6.298760651
Coefficient of variation (CV)	0.8032274026
Kurtosis	-1.612896694
Mean	7.841814947
Median Absolute Deviation (MAD)	7
Skewness	0.004935581953
Sum	44071
Variance	39.67438574

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1322	23.5%
16	1060	18.9%
15	341	6.1%
1	298	5.3%
12	251	4.5%
13	248	4.4%
14	247	4.4%
8	214	3.8%
4	213	3.8%
2	204	3.6%
9	197	3.5%
10	190	3.4%
3	185	3.3%
11	183	3.3%
5	161	2.9%
6	156	2.8%
7	150	2.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1322	23.5%
1	298	5.3%
2	204	3.6%
3	185	3.3%
4	213	3.8%
5	161	2.9%
6	156	2.8%
7	150	2.7%
8	214	3.8%
9	197	3.5%

Value	Count	Frequency (%)
16	1060	18.9%
15	341	6.1%
14	247	4.4%
13	248	4.4%
12	251	4.5%
11	183	3.3%
10	190	3.4%
9	197	3.5%
8	214	3.8%
7	150	2.7%

input6
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	5.593772241992882
Minimum	0.0
Maximum	16.0
Zeros	1611
Zeros (%)	28.7%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	4
Q3	10
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	10

Descriptive statistics

Standard deviation	5.631148942
Coefficient of variation (CV)	1.006681842
Kurtosis	-1.103530973
Mean	5.593772242
Median Absolute Deviation (MAD)	4
Skewness	0.6032715441
Sum	31437
Variance	31.70983841

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1611	28.7%
1	505	9.0%
16	440	7.8%
2	367	6.5%
3	282	5.0%
4	251	4.5%
5	250	4.4%
12	244	4.3%
6	220	3.9%
8	217	3.9%
15	212	3.8%
13	200	3.6%
10	189	3.4%
7	177	3.1%
14	156	2.8%
9	154	2.7%
11	145	2.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1611	28.7%
1	505	9.0%
2	367	6.5%
3	282	5.0%
4	251	4.5%
5	250	4.4%
6	220	3.9%
7	177	3.1%
8	217	3.9%
9	154	2.7%

Value	Count	Frequency (%)
16	440	7.8%
15	212	3.8%
14	156	2.8%
13	200	3.6%
12	244	4.3%
11	145	2.6%
10	189	3.4%
9	154	2.7%
8	217	3.9%
7	177	3.1%

input37
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.332918149466192
Minimum	0.0
Maximum	16.0
Zeros	822
Zeros (%)	14.6%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	6
median	13
Q3	16
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	10

Descriptive statistics

Standard deviation	5.92391262
Coefficient of variation (CV)	0.5733049013
Kurtosis	-1.051516777
Mean	10.33291815
Median Absolute Deviation (MAD)	3
Skewness	-0.6786953098
Sum	58071
Variance	35.09274073

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
16	1703	30.3%
0	822	14.6%
15	441	7.8%
14	359	6.4%
12	323	5.7%
13	314	5.6%
8	229	4.1%
10	210	3.7%
11	196	3.5%
9	182	3.2%
4	146	2.6%
7	141	2.5%
6	122	2.2%
1	120	2.1%
5	120	2.1%
2	101	1.8%
3	91	1.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	822	14.6%
1	120	2.1%
2	101	1.8%
3	91	1.6%
4	146	2.6%
5	120	2.1%
6	122	2.2%
7	141	2.5%
8	229	4.1%
9	182	3.2%

Value	Count	Frequency (%)
16	1703	30.3%
15	441	7.8%
14	359	6.4%
13	314	5.6%
12	323	5.7%
11	196	3.5%
10	210	3.7%
9	182	3.2%
8	229	4.1%
7	141	2.5%

input17
Real number (ℝ_≥0)

SKEWED
ZEROS

Distinct count	5
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.004270462633451958
Minimum	0.0
Maximum	5.0
Zeros	5607
Zeros (%)	99.8%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	0
95-th percentile	0
Maximum	5
Range	5
Interquartile range (IQR)	0

Descriptive statistics

Standard deviation	0.1049559513
Coefficient of variation (CV)	24.57718527
Kurtosis	1227.941133
Mean	0.004270462633
Median Absolute Deviation (MAD)	0
Skewness	32.21437116
Sum	24
Variance	0.01101575172

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	5607	99.8%
1	7	0.1%
2	3	0.1%
3	2	< 0.1%
5	1	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	5607	99.8%
1	7	0.1%
2	3	0.1%
3	2	< 0.1%
5	1	< 0.1%

Value	Count	Frequency (%)
5	1	< 0.1%
3	2	< 0.1%
2	3	0.1%
1	7	0.1%
0	5607	99.8%

input13
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.514412811387901
Minimum	0.0
Maximum	16.0
Zeros	217
Zeros (%)	3.9%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	1
Q1	7
median	11
Q3	15
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	8

Descriptive statistics

Standard deviation	4.788679638
Coefficient of variation (CV)	0.4554395689
Kurtosis	-0.747240908
Mean	10.51441281
Median Absolute Deviation (MAD)	4
Skewness	-0.5694278588
Sum	59091
Variance	22.93145267

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
16	1203	21.4%
8	448	8.0%
15	414	7.4%
12	396	7.0%
14	373	6.6%
13	368	6.5%
11	352	6.3%
10	338	6.0%
9	277	4.9%
4	247	4.4%
5	226	4.0%
0	217	3.9%
7	217	3.9%
6	206	3.7%
1	114	2.0%
2	113	2.0%
3	111	2.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	217	3.9%
1	114	2.0%
2	113	2.0%
3	111	2.0%
4	247	4.4%
5	226	4.0%
6	206	3.7%
7	217	3.9%
8	448	8.0%
9	277	4.9%

Value	Count	Frequency (%)
16	1203	21.4%
15	414	7.4%
14	373	6.6%
13	368	6.5%
12	396	7.0%
11	352	6.3%
10	338	6.0%
9	277	4.9%
8	448	8.0%
7	217	3.9%

input26
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.3784697508896797
Minimum	0.0
Maximum	16.0
Zeros	2787
Zeros (%)	49.6%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	1
Q3	4
95-th percentile	8
Maximum	16
Range	16
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	3.105775835
Coefficient of variation (CV)	1.305787401
Kurtosis	0.5410083803
Mean	2.378469751
Median Absolute Deviation (MAD)	1
Skewness	1.191070465
Sum	13367
Variance	9.645843538

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	2787	49.6%
1	419	7.5%
4	399	7.1%
2	333	5.9%
5	329	5.9%
3	328	5.8%
6	274	4.9%
8	251	4.5%
7	229	4.1%
9	99	1.8%
10	70	1.2%
11	49	0.9%
12	35	0.6%
13	7	0.1%
15	5	0.1%
14	5	0.1%
16	1	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2787	49.6%
1	419	7.5%
2	333	5.9%
3	328	5.8%
4	399	7.1%
5	329	5.9%
6	274	4.9%
7	229	4.1%
8	251	4.5%
9	99	1.8%

Value	Count	Frequency (%)
16	1	< 0.1%
15	5	0.1%
14	5	0.1%
13	7	0.1%
12	35	0.6%
11	49	0.9%
10	70	1.2%
9	99	1.8%
8	251	4.5%
7	229	4.1%

input62
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	6.7208185053380785
Minimum	0.0
Maximum	16.0
Zeros	1494
Zeros (%)	26.6%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	6
Q3	12
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	12

Descriptive statistics

Standard deviation	5.815563623
Coefficient of variation (CV)	0.8653058579
Kurtosis	-1.420394909
Mean	6.720818505
Median Absolute Deviation (MAD)	6
Skewness	0.2354812113
Sum	37771
Variance	33.82078025

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1494	26.6%
16	548	9.8%
12	316	5.6%
1	273	4.9%
8	273	4.9%
15	269	4.8%
3	253	4.5%
9	245	4.4%
10	238	4.2%
13	230	4.1%
6	218	3.9%
14	217	3.9%
5	215	3.8%
2	215	3.8%
11	207	3.7%
7	207	3.7%
4	202	3.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1494	26.6%
1	273	4.9%
2	215	3.8%
3	253	4.5%
4	202	3.6%
5	215	3.8%
6	218	3.9%
7	207	3.7%
8	273	4.9%
9	245	4.4%

Value	Count	Frequency (%)
16	548	9.8%
15	269	4.8%
14	217	3.9%
13	230	4.1%
12	316	5.6%
11	207	3.7%
10	238	4.2%
9	245	4.4%
8	273	4.9%
7	207	3.7%

input57
Boolean

Distinct count	2
Unique (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	44.0 KiB

0	5618
1	2

Frequency Table

Value	Count	Frequency (%)
0	5618	> 99.9%
1	2	< 0.1%

input10
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.9711743772241992
Minimum	0.0
Maximum	16.0
Zeros	3228
Zeros (%)	57.4%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	3
95-th percentile	9
Maximum	16
Range	16
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	3.098815435
Coefficient of variation (CV)	1.572065603
Kurtosis	2.257126258
Mean	1.971174377
Median Absolute Deviation (MAD)	0
Skewness	1.70151293
Sum	11078
Variance	9.602657101

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	3228	57.4%
1	420	7.5%
2	356	6.3%
3	307	5.5%
4	292	5.2%
5	200	3.6%
7	179	3.2%
6	177	3.1%
8	154	2.7%
10	79	1.4%
9	79	1.4%
11	66	1.2%
12	36	0.6%
14	19	0.3%
13	18	0.3%
15	9	0.2%
16	1	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	3228	57.4%
1	420	7.5%
2	356	6.3%
3	307	5.5%
4	292	5.2%
5	200	3.6%
6	177	3.1%
7	179	3.2%
8	154	2.7%
9	79	1.4%

Value	Count	Frequency (%)
16	1	< 0.1%
15	9	0.2%
14	19	0.3%
13	18	0.3%
12	36	0.6%
11	66	1.2%
10	79	1.4%
9	79	1.4%
8	154	2.7%
7	179	3.2%

input41
Real number (ℝ_≥0)

ZEROS

Distinct count	8
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.021530249110320285
Minimum	0.0
Maximum	7.0
Zeros	5572
Zeros (%)	99.1%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	0
95-th percentile	0
Maximum	7
Range	7
Interquartile range (IQR)	0

Descriptive statistics

Standard deviation	0.2735263513
Coefficient of variation (CV)	12.70428177
Kurtosis	284.641536
Mean	0.02153024911
Median Absolute Deviation (MAD)	0
Skewness	15.79660367
Sum	121
Variance	0.07481666486

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	5572	99.1%
1	16	0.3%
2	13	0.2%
3	7	0.1%
4	6	0.1%
5	3	0.1%
6	2	< 0.1%
7	1	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	5572	99.1%
1	16	0.3%
2	13	0.2%
3	7	0.1%
4	6	0.1%
5	3	0.1%
6	2	< 0.1%
7	1	< 0.1%

Value	Count	Frequency (%)
7	1	< 0.1%
6	2	< 0.1%
5	3	0.1%
4	6	0.1%
3	7	0.1%
2	13	0.2%
1	16	0.3%
0	5572	99.1%

input14
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	8.25729537366548
Minimum	0.0
Maximum	16.0
Zeros	1111
Zeros (%)	19.8%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	2
median	9
Q3	14
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	12

Descriptive statistics

Standard deviation	5.973065708
Coefficient of variation (CV)	0.7233682989
Kurtosis	-1.499134639
Mean	8.257295374
Median Absolute Deviation (MAD)	6
Skewness	-0.1372033579
Sum	46406
Variance	35.67751395

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1111	19.8%
16	861	15.3%
15	393	7.0%
12	336	6.0%
13	332	5.9%
14	305	5.4%
8	288	5.1%
11	244	4.3%
4	241	4.3%
10	213	3.8%
2	200	3.6%
1	191	3.4%
7	190	3.4%
9	185	3.3%
3	185	3.3%
5	176	3.1%
6	169	3.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1111	19.8%
1	191	3.4%
2	200	3.6%
3	185	3.3%
4	241	4.3%
5	176	3.1%
6	169	3.0%
7	190	3.4%
8	288	5.1%
9	185	3.3%

Value	Count	Frequency (%)
16	861	15.3%
15	393	7.0%
14	305	5.4%
13	332	5.9%
12	336	6.0%
11	244	4.3%
10	213	3.8%
9	185	3.3%
8	288	5.1%
7	190	3.4%

input35
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	7.661921708185053
Minimum	0.0
Maximum	16.0
Zeros	1422
Zeros (%)	25.3%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	8
Q3	14
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	14

Descriptive statistics

Standard deviation	6.279904804
Coefficient of variation (CV)	0.8196252903
Kurtosis	-1.598817028
Mean	7.661921708
Median Absolute Deviation (MAD)	7
Skewness	0.03659306395
Sum	43060
Variance	39.43720435

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1422	25.3%
16	1012	18.0%
12	328	5.8%
15	310	5.5%
8	275	4.9%
1	265	4.7%
13	227	4.0%
14	226	4.0%
2	216	3.8%
7	199	3.5%
11	177	3.1%
9	172	3.1%
3	170	3.0%
4	163	2.9%
5	160	2.8%
10	158	2.8%
6	140	2.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1422	25.3%
1	265	4.7%
2	216	3.8%
3	170	3.0%
4	163	2.9%
5	160	2.8%
6	140	2.5%
7	199	3.5%
8	275	4.9%
9	172	3.1%

Value	Count	Frequency (%)
16	1012	18.0%
15	310	5.5%
14	226	4.0%
13	227	4.0%
12	328	5.8%
11	177	3.1%
10	158	2.8%
9	172	3.1%
8	275	4.9%
7	199	3.5%

input51
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	7.753202846975089
Minimum	0.0
Maximum	16.0
Zeros	1100
Zeros (%)	19.6%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	2
median	8
Q3	13
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	11

Descriptive statistics

Standard deviation	5.661582243
Coefficient of variation (CV)	0.7302249606
Kurtosis	-1.412992159
Mean	7.753202847
Median Absolute Deviation (MAD)	5
Skewness	-0.05180383603
Sum	43573
Variance	32.0535135

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	1100	19.6%
16	557	9.9%
11	338	6.0%
12	336	6.0%
14	332	5.9%
15	330	5.9%
8	313	5.6%
13	294	5.2%
9	253	4.5%
10	251	4.5%
4	242	4.3%
7	233	4.1%
6	221	3.9%
5	218	3.9%
1	212	3.8%
2	197	3.5%
3	193	3.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1100	19.6%
1	212	3.8%
2	197	3.5%
3	193	3.4%
4	242	4.3%
5	218	3.9%
6	221	3.9%
7	233	4.1%
8	313	5.6%
9	253	4.5%

Value	Count	Frequency (%)
16	557	9.9%
15	330	5.9%
14	332	5.9%
13	294	5.2%
12	336	6.0%
11	338	6.0%
10	251	4.5%
9	253	4.5%
8	313	5.6%
7	233	4.1%

input4
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	11.815480427046264
Minimum	0.0
Maximum	16.0
Zeros	162
Zeros (%)	2.9%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	2
Q1	10
median	13
Q3	15
95-th percentile	16
Maximum	16
Range	16
Interquartile range (IQR)	5

Descriptive statistics

Standard deviation	4.255951795
Coefficient of variation (CV)	0.3602013326
Kurtosis	0.8167436814
Mean	11.81548043
Median Absolute Deviation (MAD)	2
Skewness	-1.2419389
Sum	66403
Variance	18.11312568

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
16	1155	20.6%
15	706	12.6%
12	637	11.3%
14	626	11.1%
13	588	10.5%
11	343	6.1%
10	302	5.4%
9	229	4.1%
8	211	3.8%
0	162	2.9%
7	117	2.1%
6	110	2.0%
1	108	1.9%
4	91	1.6%
5	82	1.5%
2	81	1.4%
3	72	1.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	162	2.9%
1	108	1.9%
2	81	1.4%
3	72	1.3%
4	91	1.6%
5	82	1.5%
6	110	2.0%
7	117	2.1%
8	211	3.8%
9	229	4.1%

Value	Count	Frequency (%)
16	1155	20.6%
15	706	12.6%
14	626	11.1%
13	588	10.5%
12	637	11.3%
11	343	6.1%
10	302	5.4%
9	229	4.1%
8	211	3.8%
7	117	2.1%

input18
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.5976868327402136
Minimum	0.0
Maximum	16.0
Zeros	2745
Zeros (%)	48.8%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	1
Q3	4
95-th percentile	10
Maximum	16
Range	16
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	3.493297422
Coefficient of variation (CV)	1.344772348
Kurtosis	1.078751505
Mean	2.597686833
Median Absolute Deviation (MAD)	1
Skewness	1.352594682
Sum	14599
Variance	12.20312688

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	2745	48.8%
2	402	7.2%
1	393	7.0%
4	357	6.4%
3	345	6.1%
5	247	4.4%
8	237	4.2%
6	227	4.0%
7	220	3.9%
9	113	2.0%
10	107	1.9%
11	77	1.4%
12	74	1.3%
14	26	0.5%
13	23	0.4%
16	16	0.3%
15	11	0.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2745	48.8%
1	393	7.0%
2	402	7.2%
3	345	6.1%
4	357	6.4%
5	247	4.4%
6	227	4.0%
7	220	3.9%
8	237	4.2%
9	113	2.0%

Value	Count	Frequency (%)
16	16	0.3%
15	11	0.2%
14	26	0.5%
13	23	0.4%
12	74	1.3%
11	77	1.4%
10	107	1.9%
9	113	2.0%
8	237	4.2%
7	220	3.9%

input50
Real number (ℝ_≥0)

ZEROS

Distinct count	17
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.7830960854092527
Minimum	0.0
Maximum	16.0
Zeros	4273
Zeros (%)	76.0%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	0
95-th percentile	5
Maximum	16
Range	16
Interquartile range (IQR)	0

Descriptive statistics

Standard deviation	1.929464226
Coefficient of variation (CV)	2.463892059
Kurtosis	15.27022146
Mean	0.7830960854
Median Absolute Deviation (MAD)	0
Skewness	3.532882522
Sum	4401
Variance	3.722832199

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	4273	76.0%
1	422	7.5%
2	276	4.9%
3	204	3.6%
4	142	2.5%
5	88	1.6%
7	53	0.9%
6	48	0.9%
8	41	0.7%
9	23	0.4%
10	13	0.2%
11	9	0.2%
13	8	0.1%
12	8	0.1%
15	6	0.1%
16	5	0.1%
14	1	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	4273	76.0%
1	422	7.5%
2	276	4.9%
3	204	3.6%
4	142	2.5%
5	88	1.6%
6	48	0.9%
7	53	0.9%
8	41	0.7%
9	23	0.4%

Value	Count	Frequency (%)
16	5	0.1%
15	6	0.1%
14	1	< 0.1%
13	8	0.1%
12	8	0.1%
11	9	0.2%
10	13	0.2%
9	23	0.4%
8	41	0.7%
7	53	0.9%

target
Real number (ℝ_≥0)

ZEROS

Distinct count	10
Unique (%)	0.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.495195729537366
Minimum	0
Maximum	9
Zeros	554
Zeros (%)	9.9%
Memory size	44.0 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	2
median	4
Q3	7
95-th percentile	9
Maximum	9
Range	9
Interquartile range (IQR)	5

Descriptive statistics

Standard deviation	2.868130706
Coefficient of variation (CV)	0.6380435644
Kurtosis	-1.221559595
Mean	4.49519573
Median Absolute Deviation (MAD)	2
Skewness	0.005723041686
Sum	25263
Variance	8.226173747

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3	572	10.2%
1	571	10.2%
4	568	10.1%
7	566	10.1%
9	562	10.0%
6	558	9.9%
5	558	9.9%
2	557	9.9%
8	554	9.9%
0	554	9.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	554	9.9%
1	571	10.2%
2	557	9.9%
3	572	10.2%
4	568	10.1%
5	558	9.9%
6	558	9.9%
7	566	10.1%
8	554	9.9%
9	562	10.0%

Value	Count	Frequency (%)
9	562	10.0%
8	554	9.9%
7	566	10.1%
6	558	9.9%
5	558	9.9%
4	568	10.1%
3	572	10.2%
2	557	9.9%
1	571	10.2%
0	554	9.9%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	input53	input59	input45	input6	input37	input13	input26	input62	input10	input14	input35	input51	input4	input18	input50	target
0	15.0	6.0	1.0	1.0	0.0	6.0	5.0	1.0	7.0	10.0	13.0	14.0	15.0	8.0	0.0	0
1	10.0	10.0	0.0	0.0	0.0	16.0	12.0	3.0	7.0	5.0	12.0	16.0	16.0	11.0	0.0	0
2	4.0	9.0	10.0	13.0	16.0	11.0	0.0	0.0	1.0	16.0	16.0	2.0	15.0	0.0	0.0	7
3	16.0	0.0	15.0	16.0	13.0	11.0	11.0	2.0	0.0	13.0	4.0	0.0	3.0	3.0	0.0	4
4	4.0	4.0	0.0	0.0	4.0	0.0	6.0	7.0	0.0	0.0	16.0	10.0	14.0	3.0	0.0	6
5	15.0	10.0	16.0	1.0	12.0	15.0	1.0	16.0	4.0	8.0	0.0	5.0	16.0	4.0	0.0	2
6	15.0	1.0	5.0	11.0	0.0	6.0	5.0	0.0	0.0	4.0	1.0	0.0	11.0	0.0	0.0	5
7	14.0	4.0	4.0	7.0	2.0	12.0	5.0	0.0	1.0	12.0	0.0	6.0	10.0	7.0	0.0	5
8	16.0	10.0	7.0	13.0	0.0	12.0	7.0	0.0	0.0	13.0	12.0	16.0	2.0	2.0	5.0	0
9	8.0	3.0	0.0	2.0	12.0	10.0	10.0	6.0	6.0	8.0	12.0	13.0	13.0	9.0	0.0	8

Last rows

	input53	input59	input45	input6	input37	input13	input26	input62	input10	input14	input35	input51	input4	input18	input50	target
5610	14.0	6.0	2.0	1.0	1.0	5.0	4.0	4.0	0.0	0.0	10.0	7.0	16.0	2.0	0.0	5
5611	14.0	0.0	16.0	6.0	10.0	15.0	4.0	9.0	0.0	2.0	15.0	7.0	1.0	0.0	1.0	4
5612	16.0	10.0	16.0	0.0	16.0	5.0	0.0	1.0	0.0	14.0	12.0	16.0	16.0	0.0	3.0	8
5613	16.0	6.0	16.0	0.0	16.0	5.0	0.0	3.0	0.0	13.0	1.0	11.0	12.0	0.0	0.0	8
5614	16.0	0.0	16.0	4.0	15.0	12.0	7.0	4.0	0.0	0.0	16.0	4.0	3.0	0.0	0.0	4
5615	7.0	2.0	0.0	6.0	4.0	12.0	0.0	9.0	1.0	16.0	0.0	5.0	10.0	4.0	0.0	9
5616	16.0	6.0	9.0	11.0	0.0	12.0	4.0	6.0	0.0	16.0	16.0	15.0	16.0	3.0	1.0	0
5617	15.0	2.0	16.0	1.0	16.0	8.0	0.0	6.0	0.0	2.0	9.0	15.0	11.0	0.0	0.0	8
5618	7.0	5.0	0.0	0.0	14.0	16.0	5.0	12.0	0.0	15.0	5.0	4.0	10.0	4.0	0.0	9
5619	8.0	8.0	4.0	1.0	15.0	6.0	0.0	12.0	2.0	1.0	12.0	16.0	14.0	0.0	8.0	8

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows